Robust stabilization of parameter perturbed systems with delayed states and control delay

Abstract

The paper concerns the issue of robust stabilization for parameter perturbed time delay systems in which delay terms appear as both states and controls. The uncertain time delay systems under consideration are described by state differential equations with time‐varying unknowns but bounded uncertain parameters. Based on the Lyapunov‐Krasovskii functional techniques, robust exponential stability criteria are derived. The results depend on the size of delays and are given in terms of several linear matrix inequalities (LMIs). The results have been illustrated by given numerical examples. We believe that the proposed schemes are applicable to robust control design.

Key Words:

• parameter perturbed system
• time‐delay
• linear matrix inequality

Notes

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